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Previous year question hub

Standard Univariate Distributions - Statistics Previous Year Questions

Practice Standard Univariate Distributions - Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
16Questions
1Topics

Standard Univariate Distributions question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Standard Univariate Distributions. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 15 93.8%
Easy 1 6.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 10 62.5%
Numerical Answer Type (NAT) 5 31.3%
MSQ 1 6.3%

Subject weightage

Top subjects by unique question coverage.

Statistics
16 Qs

Most asked topics

Top topics across the included previous year papers.

Standard Univariate Distributions
16 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Continuous Probability Distributions
10 Qs
Discrete Probability Distributions
6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Statistics (ST) 2026
1 Qs
Statistics (ST) 2025
2 Qs
Statistics (ST) 2024
3 Qs
Statistics (ST) 2023
3 Qs
Statistics (ST) 2022
3 Qs
Statistics (ST) 2021
2 Qs
Statistics (ST) 2020
1 Qs
Statistics (ST) 2019
1 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Continuous Probability Distributions

Explore previous-paper coverage, trends and focused practice for Continuous Probability Distributions.

10 questions7 papers7 years

Discrete Probability Distributions

Explore previous-paper coverage, trends and focused practice for Discrete Probability Distributions.

6 questions5 papers5 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Statistics (ST) 202620261View paper
Statistics (ST) 202520252View paper
Statistics (ST) 202420243View paper
Statistics (ST) 202320233View paper
Statistics (ST) 202220223View paper
Statistics (ST) 202120212View paper
Statistics (ST) 202020201View paper
Statistics (ST) 201920191View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2019 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions
Statistics (ST) 2019
Let \(X\) and \(Y\) be two independent random variables with \(\chi_m^2\) and \(\chi_n^2\) distributions, respectively, where \(m\) and \(n\) are positive integers. Then which of the following statements is true?
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2
2020 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions
Statistics (ST) 2020
Let \(X_1, \dots, X_{20}\) be independent and identically distributed random variables with the common probability density function \(f(x) = \frac{1}{6}e^{-\frac{|x-2|}{3}}, \quad x \in (-\infty, \infty).\) Then the distribution of the random variable \(W = \frac{2}{3}\sum_{i=1}^{20} |X_i - 2|\) is
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3
2021 · Statistics · Standard Univariate Distributions · Discrete Probability Distributions
Statistics (ST) 2021
Let \( X \) be a random variable having Poisson distribution such that \( E(X^2) = 110 \). Then which one of the following statements is NOT true?
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4
2022 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions
Statistics (ST) 2022
Let \(X\) and \(Y\) be two independent exponential random variables with \(E(X^2) = \frac{1}{2}\) and \(E(Y^2) = \frac{2}{9}\). Then \(P(X < 2Y)\) (rounded off to two decimal places) is equal to ______
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5
2023 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions
Statistics (ST) 2023
Let \( X \) be a random variable with probability density function \[ f(x) = \begin{cases} \alpha \lambda x^{\alpha-1} e^{-\lambda x^\alpha} & \text{if } x > 0 \\ 0 & \text{otherwise}, \end{cases} \] where \( \alpha > 0 \) and \( \lambda > 0 \). If the median of \( X \) is 1 and the third quartile is 2, then \( (\alpha, \lambda) \) equals
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6
2024 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions
Statistics (ST) 2024
Let \( X \) be a random variable with probability density function
\[ f(x) = \begin{cases} \frac{\Gamma(\alpha+\beta)}{\Gamma(\alpha)\Gamma(\beta)} x^{\alpha-1} (1-x)^{\beta-1} & \text{if } 0 < x < 1 \\ 0 & \text{otherwise}, \end{cases} \]
where \( \alpha > 0, \beta > 0 \). If \( E(X) = \frac{1}{3} \) and \( E(X^2) = \frac{1}{6} \), then \( \alpha + 3\beta \) equals
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